Topology of foliations : an introduction
Author(s)
Bibliographic Information
Topology of foliations : an introduction
（Translations of mathematical monographs, v. 97）
American Mathematical Society, c1992
- : softcover
- Other Title
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Yousou no toporojii
Yōsō no toporojī
葉層のトポロジー
Available at / 52 libraries
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
dc20:514.72/t1532070223738
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Note
Translation of: 葉層のトポロジー
Includes bibliographical references and index
Description and Table of Contents
- Volume
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: softcover ISBN 9780821842003
Description
This book provides historical background and a complete overview of the qualitative theory of foliations and differential dynamical systems. Senior mathematics majors and graduate students with background in multivariate calculus, algebraic and differential topology, differential geometry, and linear algebra will find this book an accessible introduction. Upon finishing the book, readers will be prepared to take up research in this area. Readers will appreciate the book for its highly visual presentation of examples in low dimensions. The author focuses particularly on foliations with compact leaves, covering all the important basic results. Specific topics covered include: dynamical systems on the torus and the three-sphere, local and global stability theorems for foliations, the existence of compact leaves on three-spheres, and foliated cobordisms on three-spheres. Also included is a short introduction to the theory of differentiable manifolds.
Table of Contents
- Nonsingular dynamical systems on the torus
- $Cr$ manifolds and tangent spaces
- Dynamical systems and limit sets
- Foliations
- Stability theorems on foliations
- The existence of compact leaves
- Foliations and differential forms
- Cobordisms of foliations
- Appendices
- Translator's afterword
- Subject index
- Nonsingular dynamical systems on the torus
- $Cr$ manifolds and tangent spaces
- Dynamical systems and limit sets
- Foliations
- Stability theorems on foliations
- The existence of compact leaves
- Foliations and differential forms
- Cobordisms of foliations
- Appendices
- Translator's afterword
- Subject index
- Volume
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ISBN 9780821845431
Description
This book provides historical background and a complete overview of the qualitative theory of foliations and differential dynamical systems. Senior mathematics majors and graduate students with background in multivariate calculus, algebraic and differential topology, differential geometry, and linear algebra will find this book an accessible introduction. Upon finishing the book, readers will be prepared to take up research in this area. Readers will appreciate the book for its highly visual presentation of examples in low dimensions. The author focuses particularly on foliations with compact leaves, covering all the important basic results. Specific topics covered include: dynamical systems on the torus and the three-sphere, local and global stability theorems for foliations, the existence of compact leaves on three-spheres, and foliated cobordisms on three-spheres. Also included is a short introduction to the theory of differentiable manifolds.
Table of Contents
Nonsingular dynamical systems on the torus $C^r$ manifolds and tangent spaces Dynamical systems and limit sets Foliations Stability theorems on foliations The existence of compact leaves Foliations and differential forms Cobordisms of foliations.
by "Nielsen BookData"
